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Title: Born-Infeld and charged black holes with non-linear source in f(T) gravity

Abstract

We investigate f(T) theory coupled with a nonlinear source of electrodynamics, for a spherically symmetric and static spacetime in 4D. We re-obtain the Born-Infeld and Reissner-Nordstrom-AdS solutions. We generalize the no-go theorem for any content that obeys the relationship T{sup 0}{sub 0}=T{sup 1}{sub 1} for the energy-momentum tensor and a given set of tetrads. Our results show new classes of solutions where the metrics are related through b(r)=−Na(r). We do the introductory analysis showing that solutions are that of asymptotically flat black holes, with a singularity at the origin of the radial coordinate, covered by a single event horizon. We also reconstruct the action for this class of solutions and obtain the functional form f(T)=f{sub 0}(−T){sup (N+3)/[2(N+1)]} and L{sub NED}=L{sub 0}(−F){sup (N+3)/[2(N+1)]}. Using the Lagrangian density of Born-Infeld, we obtain a new class of charged black holes where the action reads f(T)=−16β{sub BI}[1−√1+(T/4β{sub BI})].

Authors:
;  [1]
  1. Faculdade de Física, PPGF, Universidade Federal do Pará, 66075-110, Belém, Pará (Brazil)
Publication Date:
OSTI Identifier:
22525756
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2015; Journal Issue: 06; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ANTI DE SITTER SPACE; BLACK HOLES; BORN-INFELD THEORY; COORDINATES; ELECTRODYNAMICS; ENERGY-MOMENTUM TENSOR; GRAVITATION; LAGRANGIAN FUNCTION; MATHEMATICAL SOLUTIONS; METRICS; NONLINEAR PROBLEMS; SINGULARITY; SPACE-TIME; SYMMETRY

Citation Formats

Junior, Ednaldo L.B., Rodrigues, Manuel E., and Houndjo, Mahouton J.S., E-mail: ednaldobarrosjr@gmail.com, E-mail: esialg@gmail.com, E-mail: sthoundjo@yahoo.fr. Born-Infeld and charged black holes with non-linear source in f(T) gravity. United States: N. p., 2015. Web. doi:10.1088/1475-7516/2015/06/037.
Junior, Ednaldo L.B., Rodrigues, Manuel E., & Houndjo, Mahouton J.S., E-mail: ednaldobarrosjr@gmail.com, E-mail: esialg@gmail.com, E-mail: sthoundjo@yahoo.fr. Born-Infeld and charged black holes with non-linear source in f(T) gravity. United States. https://doi.org/10.1088/1475-7516/2015/06/037
Junior, Ednaldo L.B., Rodrigues, Manuel E., and Houndjo, Mahouton J.S., E-mail: ednaldobarrosjr@gmail.com, E-mail: esialg@gmail.com, E-mail: sthoundjo@yahoo.fr. 2015. "Born-Infeld and charged black holes with non-linear source in f(T) gravity". United States. https://doi.org/10.1088/1475-7516/2015/06/037.
@article{osti_22525756,
title = {Born-Infeld and charged black holes with non-linear source in f(T) gravity},
author = {Junior, Ednaldo L.B. and Rodrigues, Manuel E. and Houndjo, Mahouton J.S., E-mail: ednaldobarrosjr@gmail.com, E-mail: esialg@gmail.com, E-mail: sthoundjo@yahoo.fr},
abstractNote = {We investigate f(T) theory coupled with a nonlinear source of electrodynamics, for a spherically symmetric and static spacetime in 4D. We re-obtain the Born-Infeld and Reissner-Nordstrom-AdS solutions. We generalize the no-go theorem for any content that obeys the relationship T{sup 0}{sub 0}=T{sup 1}{sub 1} for the energy-momentum tensor and a given set of tetrads. Our results show new classes of solutions where the metrics are related through b(r)=−Na(r). We do the introductory analysis showing that solutions are that of asymptotically flat black holes, with a singularity at the origin of the radial coordinate, covered by a single event horizon. We also reconstruct the action for this class of solutions and obtain the functional form f(T)=f{sub 0}(−T){sup (N+3)/[2(N+1)]} and L{sub NED}=L{sub 0}(−F){sup (N+3)/[2(N+1)]}. Using the Lagrangian density of Born-Infeld, we obtain a new class of charged black holes where the action reads f(T)=−16β{sub BI}[1−√1+(T/4β{sub BI})].},
doi = {10.1088/1475-7516/2015/06/037},
url = {https://www.osti.gov/biblio/22525756}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 06,
volume = 2015,
place = {United States},
year = {Mon Jun 01 00:00:00 EDT 2015},
month = {Mon Jun 01 00:00:00 EDT 2015}
}